Results 81 to 90 of about 4,823,150 (306)

Fractal Anatomy of Human Organs: A Narrative Review of Structure, Function, and Clinical Perspectives

open access: yesClinical Anatomy, EarlyView.
ABSTRACT Fractal geometry describes complex, self‐similar patterns that repeat across spatial scales and is increasingly recognized as relevant in anatomical research. Indeed, the fractal organization is consistently observed in respiratory, cardiovascular, gastrointestinal, nervous, renal, hepatic, and dermatological systems.
Immacolata Belviso   +7 more
wiley   +1 more source

On the Gauss Map of Surfaces of Revolution with Nonlightlike Axis in Minkowski 3-Space

open access: yesAbstract and Applied Analysis, 2014
We study surfaces of revolution with a nonlightlike axis in 3-dimensional Minkowski space and classify such surfaces in terms of the Gauss map G that satisfies the condition ΔhG=ΛG, with Λ being a 3×3 real matrix.
Minghao Jin, Donghe Pei
doaj   +1 more source

Differential structure on kappa-Minkowski space, and kappa-Poincare algebra

open access: yes, 2011
We construct realizations of the generators of the $\kappa$-Minkowski space and $\kappa$-Poincar\'{e} algebra as formal power series in the $h$-adic extension of the Weyl algebra. The Hopf algebra structure of the $\kappa$-Poincar\'{e} algebra related to
Balachandran A. P.   +11 more
core   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell   +3 more
wiley   +1 more source

SECOND GAUSSIAN CURVATURE OF B-SCROLL SURFACES IN MINKOWSKI 3-SPACE

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this paper, we have studied the second Gaussian curvature KII of B-Scroll surfaces and extension of the B-Scroll surfaces in the Minkowski 3-space (, d31R31R2x + d2y- d2z) .
Erdal ÖZÜSAĞLAM
doaj  

Space-Time Defects and Group Momentum Space

open access: yesAdvances in High Energy Physics, 2017
We study massive and massless conical defects in Minkowski and de Sitter spaces in various space-time dimensions. The energy momentum of a defect, considered as an (extended) relativistic object, is completely characterized by the holonomy of the ...
Michele Arzano, Tomasz Trześniewski
doaj   +1 more source

Thermodynamics and area in Minkowski space: Heat capacity of entanglement

open access: yes, 2003
Tracing over the degrees of freedom inside (or outside) a sub-volume V of Minkowski space in a given quantum state |psi>, results in a statistical ensemble described by a density matrix rho.
Amos Yarom   +9 more
core   +1 more source

Conull hypersurfaces in Minkowski space [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
A submanifold of M = Gr(2, C 4 ) {\mathbf {M}} = {\text {Gr(2,}}{{\mathbf {C}}^4}{\text {)}} is conull when its conormal space is in ...
openaire   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

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